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Finding the Fourth Proportional to 649,148.96, 896,172.72 and 434,654.48

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Solution

The fourth proportional to 649,148.96, 896,172.72 and 434,654.48 is: 600,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,148.96 : 896,172.72 = 434,654.48 : x
  2. Step 2: Convert to fraction form
    649,148.96/896,172.72 = 434,654.48/x
  3. Step 3: Cross multiply
    649,148.96x = 896,172.72 × 434,654.48
  4. Step 4: Simplify right side
    649,148.96x = 389,525,487,601.79
  5. Step 5: Solve for x
    x = 389,525,487,601.79/649,148.96
  6. Step 6: Final answer
    x = 600,055.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.